MAC 2312 Midterm: MAC 2312 FAU MUExam3S13
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Make-up exam 3 mac 2312 spring 2013. Directions: for the multiple choice part make sure you clearly label your answer. On the free response part make sure to show all necessary work to receive full credit. If you need extra space please use the extra blank sheet with appropriate labeling: for what values of x does the series. + 2nxn + . converges for which values of x? (a) x = 0 only (b) . 2 (c) 2 < x < 2 (d) 1 < x < 1 (e) all real numbers. 1 (d) 2 (e) diverges: which of the following statements are true, if lim n an = 0, then the series. X n=1 an satis es lim n an an+1. 4n: i. only, i. and iii. only, ii. and iii. only, iii. only, i. , ii. , and iii. 2: for 1 < x < 1 which of the following is an anti-derivative of f (x) = (a) (c) (e)